As per the CRLs, unless you're portraying a canon Mandalorian character who carried a lightsaber as a weapon: no. Lightsabers are acceptable as trophies, but not as weapons.
From the
CRLs:
Lightsabers:
Lightsaber/darksaber hilts may be worn as trophies, but must be visibly damaged as to appear unusable. Such trophies must be worn or mounted in such a way as to not appear to be a functioning weapon.
No full bladed lightsabers/darksabers may be carried unless your character is portraying an *in-canon* lightsaber/darksaber wielding mando (i.e., Bardan Jusik, Kad Skirata, Pre Viszla).
For canon lightsaber wielding Mandalorians, you'll need to have visual references from licensed sources to support your case. IE: We don't have CRLs for Bardan Jusik and Walon Vau because the only visual depictions we have are either fan art or headshots that don't show the full kit.
If you want to go with a melee weapon as your primary, I'd suggest looking at vibroblades, beskads, and weapons similar to what the Praetorian Guards had in Last Jedi.
Hope this helps, and I look forward to seeing your kit come to life.